## Geometry: Common Core (15th Edition)

If Maple Station is located 6 mi west and 2 mi north of the origin, that means its coordinates are (-6,2). We know that Maple=(-6,2) and Cedar=(-3,1). To find the distance, use the Distance Formula which is $\sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }$. Substituting gives $\sqrt {\left( {-(-6) - (-3) } \right)^2 + \left( {2 - 1 } \right)^2 }=\sqrt {\left( {9 } \right)^2 + \left( {1 } \right)^2 }=\sqrt {81+1}=\sqrt {82}=9.1$